Details

Time bar (total: 2.3s)

sample25.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
3.0ms256×pre80true

simplify110.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0277
1557
21217
32957
48767
533207
650027

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 52.0b

Counts
2 → 1

localize15.0ms

Local error

Found 1 expressions with local error:

23.0b
(- (* 9.0 (pow x 4.0)) (pow y 4.0))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt sub-neg flip3-- *-un-lft-identity diff-log add-cbrt-cube flip--
Counts
1 → 12
Calls
1 calls:
5.0ms
(- (* 9.0 (pow x 4.0)) (pow y 4.0))

series408.0ms

Counts
1 → 3
Calls
1 calls:
408.0ms
(- (* 9.0 (pow x 4.0)) (pow y 4.0))

simplify53.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 2 (13.0ms)

IterNodesCost
0110102
135392
2143990
3500290

prune37.0ms

Filtered
15 candidates to 13 candidates (86.7%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New14115
Fresh000
Picked101
Done000
Total15116

Merged error: 52.0b

Counts
16 → 1

localize15.0ms

Local error

Found 2 expressions with local error:

1.0b
(cbrt (pow (- (* 9.0 (pow x 4.0)) (pow y 4.0)) 3))
23.0b
(- (* 9.0 (pow x 4.0)) (pow y 4.0))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×add-log-exp
3×unpow-prod-down cube-prod
2×pow1 add-exp-log cube-div cbrt-div flip3-- add-cbrt-cube flip--
1×cube-mult sub-neg pow1/3 diff-log unpow3 rem-cbrt-cube sqr-pow
Counts
2 → 35
Calls
2 calls:
10.0ms
(cbrt (pow (- (* 9.0 (pow x 4.0)) (pow y 4.0)) 3))
5.0ms
(- (* 9.0 (pow x 4.0)) (pow y 4.0))

series856.0ms

Counts
2 → 6
Calls
2 calls:
402.0ms
(cbrt (pow (- (* 9.0 (pow x 4.0)) (pow y 4.0)) 3))
453.0ms
(- (* 9.0 (pow x 4.0)) (pow y 4.0))

simplify120.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0187308
1705306
23702302
35002302

prune97.0ms

Filtered
41 candidates to 30 candidates (73.2%)
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New41041
Fresh000
Picked011
Done000
Total41142

Merged error: 52.0b

Counts
42 → 1

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0189
1189

end0.0ms

sample559.0ms

Algorithm
intervals
Results
342.0ms8000×body80valid
90.0ms8000×pre80true